Fourier Continuation Discontinuous Galerkin Methods for Linear Hyperbolic Problems

作     者：Kiera van der Sande Daniel Appelö Nathan Albin Kiera van der Sande;Daniel Appelö;Nathan Albin

作者机构：Department of Applied MathematicsUniversity of Colorado BoulderBoulderCOUSA Department of Computational MathematicsScience&EngineeringMichigan State UniversityEast LansingUSA Department of MathematicsMichigan State UniversityEast LansingUSA Department of MathematicsKansas State UniversityManhattanKSUSA 

出 版 物：《Communications on Applied Mathematics and Computation》 (应用数学与计算数学学报（英文）)

年 卷 期：2023年第5卷第4期

页      面：1385-1405页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：National Science Foundation, NSF, (DMS-1913076) National Science Foundation, NSF Directorate for Mathematical and Physical Sciences, MPS, MPS/OAD, (1913076) Directorate for Mathematical and Physical Sciences, MPS, MPS/OAD 

主　　题：Discontinuous Galerkin Fourier continuation(FC) High order method 

摘      要：Fourier continuation(FC)is an approach used to create periodic extensions of non-periodic functions to obtain highly-accurate Fourier *** methods have been used in partial differential equation(PDE)-solvers and have demonstrated high-order convergence and spectrally accurate dispersion relations in numerical *** Galerkin(DG)methods are increasingly used for solving PDEs and,as all Galerkin formulations,come with a strong framework for proving the stability and the *** we propose the use of FC in forming a new basis for the DG framework.